agus (Ih years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. Click here to view the data table, Click here to view the table of critical values for the Pearson correlation coefficient, Data table - X Critical values for the pearson correlation coefficient a) Display the dat O A. Age, x Vocabulary size, y Critical Values for the Pearson Correlation Coefficient 1 6. 3000- 2400- TI 2 210 3 E 1800- 1200 600- . 590 The correlation is significant when the absolute value of is greater than the value in the table. 4 1300 2200 0- 0 2 4 Age (year 9. 2600 a = 0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 O G06 a = 0.05 0.950 in 3. 680 4 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 2100 (b) Calculate the sa 280 6. 7. 4. 1100 8. 6 2300 9. (Round to three de 10 11 (c) Describe the ty 12 13 There is 14 Print Done 15 Interpret the correl 16 Vocabulary size

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below.
Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
Data table
Critical values for the pearson correlation coefficient
(a) Display the data
O A.
Age, x
Vocabulary size, y
Critical Values for the
1
6
3000-
2400-
1800-
1200-
Pearson Correlation
Coefficient
210
3
590
4
1300
The correlation is significant when the absolute value of
is greater than the value in the table.
600-
2200
6
4 6
0 2
Age (year
2600
a = 0.05
0.950
a = 0.01
0.990
4 6 8
years)
3
680
4
2100
0.878
0.959
(b) Calculate the sa
280
6
0.811
0.917
7
0.754
0.875
4
1100
0.834
0.798
8
0.707
(Round to three de
6.
2300
0.666
10
0.632
0.765
(c) Describe the ty
11
0.602
0.735
12
0.576
0.708
There is
13
0.553
0.684
Done
0.661
0.532
0.514
0.497
Print
14
15
0.641
Interpret the correla
16
0.623
17
0.482
0.606
O A. As age incr
18
0.468
0.590
19
0.456
0.575
B. As age increases, the number of words in children's vocabulary tends to decrease.
Id---
1:48:10
Print
Done
Vocabulary size
Transcribed Image Text:The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. Data table Critical values for the pearson correlation coefficient (a) Display the data O A. Age, x Vocabulary size, y Critical Values for the 1 6 3000- 2400- 1800- 1200- Pearson Correlation Coefficient 210 3 590 4 1300 The correlation is significant when the absolute value of is greater than the value in the table. 600- 2200 6 4 6 0 2 Age (year 2600 a = 0.05 0.950 a = 0.01 0.990 4 6 8 years) 3 680 4 2100 0.878 0.959 (b) Calculate the sa 280 6 0.811 0.917 7 0.754 0.875 4 1100 0.834 0.798 8 0.707 (Round to three de 6. 2300 0.666 10 0.632 0.765 (c) Describe the ty 11 0.602 0.735 12 0.576 0.708 There is 13 0.553 0.684 Done 0.661 0.532 0.514 0.497 Print 14 15 0.641 Interpret the correla 16 0.623 17 0.482 0.606 O A. As age incr 18 0.468 0.590 19 0.456 0.575 B. As age increases, the number of words in children's vocabulary tends to decrease. Id--- 1:48:10 Print Done Vocabulary size
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